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Finding the Fourth Proportional to 7,498.46, 10,342.28 and 6,648.71

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Solution

The fourth proportional to 7,498.46, 10,342.28 and 6,648.71 is: 9,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.46 : 10,342.28 = 6,648.71 : x
  2. Step 2: Convert to fraction form
    7,498.46/10,342.28 = 6,648.71/x
  3. Step 3: Cross multiply
    7,498.46x = 10,342.28 × 6,648.71
  4. Step 4: Simplify right side
    7,498.46x = 68,762,735.50
  5. Step 5: Solve for x
    x = 68,762,735.50/7,498.46
  6. Step 6: Final answer
    x = 9,170.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.